Question: A spool of thread consists of a cylinder of radius R1 with end caps of radius R2 as in the end view shown in Figure

A spool of thread consists of a cylinder of radius R1 with end caps of radius R2 as in the end view shown in Figure P10.90. The mass of the spool, including the thread, is m and its moment of inertia about an axis through its center is I. The spool is placed on a rough horizontal surface so that it rolls without slipping when a force T acting to the right is applied to the free end of the thread. Show that the magnitude of the friction force exerted by the surface on the spool is given by

A spool of thread consists of a cylinder

Ry Ri Figure P10.90

Step by Step Solution

★★★★★

3.42 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

F ma reads fTma If we take torques around the center of mas... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-M-R-R (90).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

A wheel is turning about an axis through its center with constant angular acceleration. Starting from rest, at t = 0, the wheel turns through 8.20 revolutions in 12.0 s. At t = 12.0 s the kinetic...

A spool of thread of mass m rests on a plane inclined at angle (. The end of the thread is tied as shown. The outer radius of the spool is R and the inner radius (where the thread is wound) is r. The...

The moment of inertia for an axis through the center of mass of a diatomic molecule calculated from the wavelength emitted in an l = 19 l = 18 transition is different from the moment of inertia...

A spool of thread consists of a cylinder of radius R1 = 8.0 cm with end caps of radius R2 = 11.6 cm as depicted in the end View shown in the figure below. The mass of the spool, including the thread,...

No statement outside the method in which a parameter variable is declared can access the parameter by its name. True False Any method that calls a method with a throws clause in its header must...

Case study link: https://www.coles.com.au/about-coles Using the Coles case study link, describe the company's approach to corporate social responsibility (CSR), focussing on at least two (2) of the...

Define the contextual-equivalence relation ` M =ctx M0 : for pairs of PCF terms M, M0 , PCF types , and PCF type environments . [3 marks] (ii) For PCF terms M and N with respective typings ` M : and...

Flow control mechanisms in networks can be loosely categorised as open loop, and closed loop. (i) Describe the closed loop feedback control scheme employed by the Transmission Control Protocol (TCP)...

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

Note: To simplify calculations, you may use g = 10 m/s in all problems.V =7.5 m/s Questions 2-4 refer to the following figure: B C - NWAVAN D velocity (m/s) 1. An object is thrown horizontally to the...

Revenue estimates and appropriations enacted are standards against which performance is subsequently measured. What implications can be drawn at year end if variances from these standards occur? If...

1.1. Find all values of a EC for which the given vector b C is a linear combi- nation of v, v and us, where bm V2 H V = Va 1.2. Let q, Pi. Pa and pa be the polynomials in P,(C) defined by q(2)...

Which item will not reduce the audit expectation gap? auditors offering discounting fees for low risk audits. auditors performing their duties appropriately. auditing standards being reviewed and...

The Ping command can be used to a. select the best path O b. Report packet loss O c. eliminate round-trip time O d. All of the mentioned

Which statements are incorrect regarding this command ip route 172.16.4.0 255.255.255.0 192.168.4.2? a. The command is used to any classless or classful address O b. The subnet mask for the source...

A class B address of 172.16.13.13 with a 255.255.255.128 mask. which one is correct broadcast address? a. Broadcast address 172.16.13.127 O b. Broadcast address 172.16.13.191 O . Broadcast address...

Assume you are a CPA working with an ABC audit firm. Explain how the risk of material misstatement should be assessed and what effect that assessment will have on detection risk for the following...

A 66-year-old male complaining of chest pain is Sought to the emergency room by ambulance The pain began six hours ago and has become more severe over the past hour prompting him to call emergency...

15. Open the Debug Solution (Debug Solution.sln) file contained in the VB2015\Chap06\ Debug Solution-B15 folder. Open the Code Editor window and review the existing code. Start and then test the...

New Assignment. Need some help and direction please. This is the scenario: Numerous accounts suggest that for many animals, including humans, direct stare from another animal is aversive (e.g. Cook...

Archer, A . L . , & Hughes, C . A . ( 2 0 1 1 ) . Explicit instruction: Effective and efficient teaching. New York, NY . Guilford Press.

A market research company surveyed families to measure how likely they were to purchase Tiny Tally snack foods. Their responses are shown below in the two-way table by family makeup. Has ChildrenDoes...